105180561 has 24 divisors (see below), whose sum is σ = 160802720. Its totient is φ = 66064896.

The previous prime is 105180533. The next prime is 105180563. The reversal of 105180561 is 165081501.

It is not a de Polignac number, because 105180561 - 2⁶ = 105180497 is a prime.

It is a super-2 number, since 2×105180561² = 22125900824549442, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (105180563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31410 + ... + 34596.

Almost surely, 2^105180561 is an apocalyptic number.

It is an amenable number.

105180561 is a deficient number, since it is larger than the sum of its proper divisors (55622159).

105180561 is a wasteful number, since it uses less digits than its factorization.

105180561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3405 (or 3402 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 27.

The square root of 105180561 is about 10255.7574561804. The cubic root of 105180561 is about 472.0396658827.

The spelling of 105180561 in words is "one hundred five million, one hundred eighty thousand, five hundred sixty-one".